Q3: A square element 8 8mm in an undeformed sheet of 0.8mm-thickness becomes a rectangle, 6.5 x 9.4mm after forming. Assume that the stress strain law is: 600 (0.008+)0.22 MPa. and that the stress normal to the sheet is zero. Determine: a. the final membrane stresses, b. the final thickness c. the principal strains.

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If the engineering strain in a tensile bar is 0.0025 and Poisson’s ratio is 0.33, find the original length and the original diameter if the length and diameter under load are 2.333 ft. and 1.005 in. respectively.

5. Consider a cylindrical specimen of a steel alloy (Figure 6.22) 10 mm in diameter and 75 mm long that is pulled in tension. Determine its elongation when a load of 20,000 N is applied. Stress (MPa) 600 500 400 300 200 100 0 0.00 0.04 Stress (MPa) 500 400 300 200 100 0.000 0.002 0.004 0.006 0.08 Strain Strain 0.12 0.16 0.20 Figure 6.22 Tensile stress-strain behavior for a steel alloy.

A metal bar of 0.5 meters diameter and a meter long is compressed in length by a force of 850KN. 1. For both the longitudinal and diametrical directions calculate the stress and the strain. 2. Change in diameter and length. 3. With a poisons ratio of 0.3 and modulus of elasticity of 185GPa calculate the bulk modulus 4. Using the relation between the bulk modulus and Young’s modulus find the modulus of rigidity.

In the attached picture there is a sketch of a socket wrench. Assume the wrench is held at a fixed point “A”. The yield stress of the material is known to be 500 MPa. Answer the questions below Describe the stresses at point “A” and their causes and calculate the stresses. Determine the factor of safety against yield assuming the Tresca yield criteria. Determine the factor of safety against yield assuming the von Mises yield criteria using both principal stresses and “Cartesian” stresses. Do your values match or not, and is this expected? Explain. Do the calculated values make sense with the respect to the Tresca value? Explain, why or why not?